ALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF MONOTONE DIFFERENTIAL EQUATIONS WITH A STRICT MONOTONE FIRST INTEGRAL

Ceban, David2023-07-072023-07-072020CEBAN, David. Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral. În: Buletinul Academiei de Științe a Moldovei. Matematica. 2020, nr.3(94), pp.39-74. ISSN 1024-76961024-7696https://msuir.usm.md/handle/123456789/10865The paper is dedicated to the study of problem of Poisson stability (in particular periodicity, quasi-periodicity, Bohr almost periodicity, almost automorphy, Levitan almost periodicity, pseudo-periodicity, almost recurrence in the sense of Bebutov, recurrence in the sense of Birkhoff, pseudo-recurrence, Poisson stability) and asymptotical Poisson stability of motions of monotone non-autonomous differential equations which admit a strict monotone first integral. This problem is solved in the framework of general non-autonomous dynamical systems.enBohr/Levitan Almost Periodic and Almost Automorphic SolutionsMonotone Nonautonomous Dynamical SystemsFirst IntegralALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF MONOTONE DIFFERENTIAL EQUATIONS WITH A STRICT MONOTONE FIRST INTEGRALArticle